Multiplicity of positive solutions for singular elliptic systems with critical sobolev-hardy and concave exponents
Tài liệu tham khảo
Alves, 2000, On systems of elliptic equations involving subcritical or critical Sobolev exponents, Nonlinear Anal, 42, 771, 10.1016/S0362-546X(99)00121-2
Ambrosetti, 1996, Multiplicity results for some nonlinear elliptic equations, J Funct Anal, 137, 219, 10.1006/jfan.1996.0045
Barstch, 1995, On a elliptic equation with concave and convex nonlinearities, Proc Amer Math Soc, 123, 3555, 10.1090/S0002-9939-1995-1301008-2
Brézis, 1983, A relation between pointwise convergence of functions and convergence of functionals, Proc Amer Math Soc, 88, 486, 10.2307/2044999
Brézis, 1983, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Commun Pure Appl Math, 36, 437, 10.1002/cpa.3160360405
Cao, 2004, Solutions for semilinear elliptic equations with critical exponents and Hardy potentials, J Differ Equ, 205, 521, 10.1016/j.jde.2004.03.005
Cao, 2005, Positive solutions for some sigular critical growth nonlinear elliptic equations, Nonlinear Anal, 60, 589, 10.1016/S0362-546X(04)00416-X
Cao, 2003, A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms, J Differ Equ, 193, 424, 10.1016/S0022-0396(03)00118-9
Chen, 2003, Existence of solutions for a nonlinear PDE with an inverse square potential, J Differ Equ, 195, 497, 10.1016/S0022-0396(03)00093-7
Chen, 2005, Some further results on a semilinear equation with concave-convex nonlinearity, Nonlinear Anal, 62, 71, 10.1016/j.na.2005.02.065
Ekeland, 2002, Selected new aspects of the calculus of variations in the large, Bull Amer Math Soc, 39, 207, 10.1090/S0273-0979-02-00929-1
Ghoussoub, 2000, Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents, Trans Amer Math Soc, 352, 5703, 10.1090/S0002-9947-00-02560-5
Hsu, 2009, Multiplicity of positive solutions for critical singular elliptic systems with concave-convex non-linearities, Adv Nonlinear Stud, 9, 295, 10.1515/ans-2009-0205
Hsu, 2010, Multiple positive solutions for singular elliptic equations with weighted Hardy terms and critical Sobolev-Hardy exponents, Proc Roy Soc Edinburgh Sect A, 140, 617, 10.1017/S0308210509000729
Liu, 2008, Existence of solutions for singular elliptic systems with critical exponents, Nonlinear Anal, 69, 2968, 10.1016/j.na.2007.08.073
Smets, 2005, Nonlinear Schrödinger equation with Hardy potential and critical nonlinearities, Trans Amer Math Soc, 357, 2909, 10.1090/S0002-9947-04-03769-9
Tarantello, 1992, On nonhomogeneous elliptic involving critical Sobolev exponent, Ann Inst H PoincaréAnal Non Linéaire, 9, 281, 10.1016/S0294-1449(16)30238-4